Algebra I Part 1
Writing Equations in Point-Slope Form
P. 234-235: 12, 14, 17, 18, 21, 22, 28, 30, 35, 40-42, 49, 50
Name: _______________________________
Write an equation in point-slope form for the line that passes through each point with the given slope. Then
graph the equation.
12. (2, -1), m = -3
10
14. (-7, 6), m = 0
10
y
8
8
6
6
4
4
2
y
2
x
-10 -8 -6 -4 -2
-2
2
4
6
8
10
x
-10 -8 -6 -4 -2
-2
-4
-4
-6
-6
-8
-8
-10
-10
2
4
6
8
10
7
17. Write an equation in point-slope form for a line that passes through (-2, -9) with a slope of  .
5
18. Write an equation in point-slope form for a horizontal line that passes through (-6, 0).
Write each equation in standard form.
21. y – 9 = -6(x + 9)
22. y + 4 =
2
(x + 7)
3
30. y – 1 =
4
(x + 5)
5
Write each equation in slope-intercept form.
28. y – 11 = 3(x + 4)
35. MOVIE RENTALS The number of copies of a movie rented at a video store decreased at a constant rate
of 5 copies per week. The 6th week after the movie was released, 4 copies were rented. How many
copies were rented during the second week?
Write an equation in point-slope form for each line.
y
40.
4
(1, 3)
42.
6
m=
2
y
y
41.
8
6
(-3, 7)
4
m=
4
2
x
x
-4
-2
m=4
2
2
4
-8
-6
-4
x
-2
-4
-2
(-4, -1)
-4
2
-2
-2
2
4
6
8
-4
4
-6
-8
-2
-10
49. WHICH ONE DOESN’T BELONG? Identify the equation that does not belong. Explain your reasoning.
y – 5 = 3(x – 1)
y + 1 = 3(x + 1)
y + 4 = 3(x + 1)
y – 8 = 3(x – 2)
50. ERROR ANALYSIS Juana and Sabrina wrote an equation in point-slope form for the line that passes
through (3, -7) and (-6, 4). Is either of them correct? Explain.
10